On Hochschild cohomology rings of Fibonacci algebras

doi:10.1007/s11464-006-0026-6

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (4) : 526-537. DOI: 10.1007/s11464-006-0026-6

On Hochschild cohomology rings of Fibonacci algebras

FAN Jinmei, XU Yunge

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Abstract

Let ∧ be a Fibonacci algebra over a field k. The multiplication of Hochschild cohomology ring of ∧ induced by the Yoneda product is described explicitly. As a consequence, the multiplicative structure of Hochschild cohomology ring of ∧ is proved to be trivial.

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FAN Jinmei, XU Yunge. On Hochschild cohomology rings of Fibonacci algebras. Front. Math. China, 2006, 1(4): 526‒537 https://doi.org/10.1007/s11464-006-0026-6